SPECIAL AND EXCEPTIONAL JORDAN DIALGEBRAS

DOI10.1142/S0219498811005531zbMath1300.17022arXiv1011.3683OpenAlexW2964200293MaRDI QIDQ2885390

Vasily Voronin

Publication date: 23 May 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3683

zbMATH Keywords

conformal algebraspecial identityJordan dialgebraquasi-Jordan algebra

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Identities and free Jordan structures (17C05) Noncommutative Jordan algebras (17A15) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (7)

Embedding of dendriform algebras into Rota-Baxter algebras ⋮ The algebraic and geometric classification of transposed Poisson algebras ⋮ Transposed Poisson structures ⋮ Jordan triple disystems ⋮ Symmetrization of Jordan dialgebras ⋮ On the speciality of Tortkara algebras ⋮ On the commutator in Leibniz algebras

Cites Work

• Unnamed Item
• On free conformal and vertex algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Some identities valid in special Jordan algebras but not valid in all Jordan algebras
• On the Definition of Quasi-Jordan Algebra
• The Tits–Kantor–Koecher Construction for Jordan Dialgebras
• Special Identities for Quasi-Jordan Algebras
• Quasi-Jordan Algebras
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• Un Theoreme de Poincaré–Birkhoff–Witt pour les Algebres de Leibniz
• Identities of Conformal Algebras and Pseudoalgebras
• On Homomorphic Images of Special Jordan Algebras

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